[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …
received significant attention from the research community in recent years. It uses the …
Quantum error mitigation
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …
the challenge of noise: the errors that occur in elementary physical components due to …
Traversable wormhole dynamics on a quantum processor
The holographic principle, theorized to be a property of quantum gravity, postulates that the
description of a volume of space can be encoded on a lower-dimensional boundary. The …
description of a volume of space can be encoded on a lower-dimensional boundary. The …
Virtual distillation for quantum error mitigation
Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …
use them to perform useful calculations, even with a large number of qubits. Quantum error …
Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
Under suitable assumptions, some recently developed quantum algorithms can estimate the
ground-state energy and prepare the ground state of a quantum Hamiltonian with near …
ground-state energy and prepare the ground state of a quantum Hamiltonian with near …
Standard model physics and the digital quantum revolution: thoughts about the interface
Advances in isolating, controlling and entangling quantum systems are transforming what
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …
Heisenberg-limited ground-state energy estimation for early fault-tolerant quantum computers
Under suitable assumptions, the quantum-phase-estimation (QPE) algorithm is able to
achieve Heisenberg-limited precision scaling in estimating the ground-state energy …
achieve Heisenberg-limited precision scaling in estimating the ground-state energy …
Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation
We develop a phase-estimation method with a distinct feature: its maximal run time (which
determines the circuit depth) is δ/ϵ, where ϵ is the target precision, and the preconstant δ …
determines the circuit depth) is δ/ϵ, where ϵ is the target precision, and the preconstant δ …
Purification-based quantum error mitigation of pair-correlated electron simulations
An important measure of the development of quantum computing platforms has been the
simulation of increasingly complex physical systems. Before fault-tolerant quantum …
simulation of increasingly complex physical systems. Before fault-tolerant quantum …
Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …
and industries including computational science, mathematics, finance, pharmaceutical …